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Finding the Third Proportional to 490,302 and 1,159,254

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Solution

The third proportional to 490,302 and 1,159,254 is: 2,740,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,302 : 1,159,254 = 1,159,254 : x
  2. Step 2: Convert to fraction form
    490,302/1,159,254 = 1,159,254/x
  3. Step 3: Cross multiply
    490,302x = 1,159,254 × 1,159,254
  4. Step 4: Simplify right side
    490,302x = 1,343,869,836,516
  5. Step 5: Solve for x
    x = 1,343,869,836,516/490,302
  6. Step 6: Final answer
    x = 2,740,902.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.